Linear Inequalities

We learned how to graph linear inequalities by hand and using our graphing calculator. Here is a gizmo to help you test yourself on whether or not you understand this concept. There is a second gizmo that you may like better.

I have a blogging prompt for you also. I would like you to answer this prompt by commenting here at the blog.

Blogging Prompt:
We have been using the mini-white boards for a couple of weeks now. Do you like using them? Are they helping you to learn? What ways to you think we could be using them better or differently?

Have a great weekend!!!!

Solving Systems of Equations Using Elimination and Substitution

We have learned two algebraic methods of solving systems of equations. The yesterday we learned the method of elimination or addition and subtraction. Today we learned the method of substitution. For a detailed explanation of each of these methods you can visit this site.

Then if you want more practice on elimination go to the sparknotes site. There is also more practice for substitution at sparknotes.

Have a great weekend and don't forget to watch Numb3ers.

Solving Systems of Equations Graphically

So today we started working in partners. How did you like your partner? How do you like using the whiteboards? Let me know if there are things I could improve on.

I have links to a couple of sites that have questions and answers related to solving systems of equations graphically.

The first site is Sparknotes. It is a site I will be using for this entire unit.

The second site is a website set up to practice for the Regents exam. It is an exam something like our diploma exam.

Preparing for Tuesday's Exam

Yes, that is right!!!! We have a unit exam this Tuesday on Ch.4 on Equations and Inequalities. Do not forget to check back at the links I have provided over the past 2 weeks. Some of the sites I have suggested contain online quizzes to test your knowledge of the material in this unit.

If I get my act together I may even have an online quiz up by tomorrow that will help you study.

Polynomial Inequalities

The following link shows a couple more examples of how to solve a polynomial inequality. For some of your seeing some more examples might help.

This second link shows how to solve polynomial inequalities graphically as well as using test intervals.

Zeros of Polynomial Functions

We are learning about how to determine all of the real zeros of a polynomial function. You can take a quiz to see how you are doing in this area.

Go to topic 16 at the following site and there are 5 questions you can test yourself on related to determining the zeros of polynomial functions.

Remainder Theorem and Synthetic Division

Today we learned about Remainder Theorem, Factor Theorem and Synthetic Division.
Use these links to review what we discussed in class.

This Synthetic Division link also contains some quiz questions on synthetic division as well.

Remeber that understanding synthetic division will really help simplify your life in higher mathematics!!!!

Quadratic Formula

Today we discussed the quadratic formula. We looked at how it lets us determine the exact value of the x-intercepts of a quardatic function.

For a summary of what we learned check out this link.

There is also a really good explanation on how the quadratic formula was derived using completing the square. This link talks about the history behind the quadratic formula and who was the first mathematician to use the formula.

Trivia question

For those of you that watched Numb3ers last night you might have seen this.

If you take a single piece of paper and fold it in half you have 2 layers. If you fold it in half again you have 4 layers. This represents a geometric progression.

2^1 = 2 layers
2^2 = 4 layers.

If you could fold the paper in half 50 times, how high would it reach?

What is the world record for the number of times a piece of paper can be folded in half?

If you find the answers to these questions I think you might be surprised!!!!!